I have owned many of both. Personal preference. For me, bushing all the way. I have slowly sold off my bearing pins reels, not for me.
I prefer bushing for several reasons. Primarily if you happen to get a bit of sand/grit into the internal parts all you need to do it hit the quick release, pop off the spool, give the spool and backplate a good rinse off in the river, put back together, good to go! However if you rinse out all the oil, after an hour when the water inside dries out, the reel will not spin so well. To remedy this I carry a tiny bottle of oil on me. If needed I'll apply a bit on the spindle with a clean twig.
If you get sand/grit in your bearings the reel is more or less screwed for the day. Plus to get the spool off you typically need a screwdriver, and if you drop/lose that screw, not good. You might be able to limp it through a day's fishing but it will sound like hell and the bearings will likely need to be replaced before your next outing.
I also like how quiet bushing reels are. Bearing pin reels have a "tick-tick-tick" noise to them as the spool spins. Bearings also get noisier as they age.
As others have mentioned one nice thing about bearings is you can replace parts (bearings) on your own easily. If you wear out the bushing or spindle on a bushing reel it will have to be done by a machinist.
Generally I have found bearings reels start up better in frog water. They are also generally "tighter" with no side to side play. A lot of bushing reels have a little side to side play that is hard to eliminate even if you have the set screw adjusted perfectly.
Bottom line, fish both and choose what you like. Both have their pros and cons.
Bushings do require more regular cleaning and lubricating, and also have a break in period, whereas bearings are as good as they are going to get right out of the box.